title: Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations.
abstract: Given multiple images that describe chaotic reaction-diffusion dynamics, parameters of a partial differential equation (PDE) model are estimated using autosynchronization, where parameters are controlled by synchronization of the model to the observed data. A two-component system of predator-prey reaction-diffusion PDEs is used with spatially dependent parameters to benchmark the methods described. Applications to modeling the ecological habitat of marine plankton blooms by nonlinear data assimilation through remote sensing are discussed.
authors.affiliation: Department of Mathematics, Clarkson University, Potsdam, New York 13669, USA.
authors.forename: Sean
authors.initials: S
authors.lastname: Kramer
authors.forename: Erik M
authors.initials: EM
authors.lastname: Bollt
mesh_terms: D000465:Algorithms; D000818:Animals; D003627:Data Interpretation, Statistical; D004463:Ecology / Q000379:methods; D017753:Ecosystem; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009792:Oceans and Seas; D010839:Phytoplankton / Q000502:physiology; D010933:Plankton; D011157:Population Dynamics; D011235:Predatory Behavior; D058998:Remote Sensing Technology / Q000379:methods; D063809:Satellite Imagery; D012815:Signal Processing, Computer-Assisted; D013045:Species Specificity; D015048:Zooplankton / Q000502:physiology